Forming of periodic three-dimensional intensity distributions based on superposition of spherical harmonics

E. O. Monin; S. N. Khonina

doi:10.1117/12.2566097

22 May 2020 Forming of periodic three-dimensional intensity distributions based on superposition of spherical harmonics

E. O. Monin, S. N. Khonina

Proceedings Volume 11516, Optical Technologies for Telecommunications 2019; 115160J (2020) https://doi.org/10.1117/12.2566097
Event: XVII International Scientific and Technical Conference "Optical Technologies for Telecommunications", 2019, Kazan, Russian Federation

Abstract

Spherical functions are the angular part of the family of orthogonal solutions of the Laplace equation written in spherical coordinates. They are widely used to study physical phenomena in spatial domains bounded by spherical surfaces and in solving physical problems with spherical symmetry. In this paper, we simulate the formation and propagation of periodical three-dimensional optical fields based on a superposition of spherical functions with specific indices that provide periodic properties of the generated fields. The results showed the dependence of the structure and shape of simple superpositions of optical three-dimensional fields on their indices, in particular on their parity. We show that a superposition of spherical harmonics with indices of equal parity provides explicit periodic properties of the fields along the z axis.

Citation Download Citation

E. O. Monin and S. N. Khonina "Forming of periodic three-dimensional intensity distributions based on superposition of spherical harmonics", Proc. SPIE 11516, Optical Technologies for Telecommunications 2019, 115160J (22 May 2020); https://doi.org/10.1117/12.2566097

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